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X₃₀₃₈¶

COMPLEMENT OF X₁₃₅₇

X₃₀₃₈ (COMPLEMENT OF X₁₃₅₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3038 = COMPLEMENT OF X_1357."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

        from geometor.etc.ops import (
            central_line,
            complement,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            mittenpunkt_of,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03038(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3038 = COMPLEMENT OF X_1357 on reference triangle ABC."""
            X_1357 = eval_trilinear_point(model, A, B, C, 'a*(b + c - a)*(b - c)**(2)*(a**(2) - (b - c)**(2))**(2)', ID="X_1357", classes=["center"])
            X_3038 = complement(model, A, B, C, X_1357, ID="X_3038", classes=["selected", "target"])
            X_121 = eval_trilinear_point(model, A, B, C, '(b*c*(b + c - 2*a)*(b**(3) + c**(3) + a*(b**(2) + c**(2)) - 2*b*c*(b + c)))', ID="X_121", classes=["center", "incident"])
            X_124 = eval_trilinear_point(model, A, B, C, '(b*c*(b + c - a)*(b - c)**(2)*((b + c)*(b**(2) + c**(2) - a**(2) - b*c) + a*b*c))', ID="X_124", classes=["center", "incident"])
            central_line(model, X_121, X_124, 121, 124, incident=True)
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_1054 = eval_trilinear_point(model, A, B, C, 'b**(2) + c**(2) - a**(2) - 3*b*c + a*b + a*c', ID="X_1054", classes=["center", "incident"])
            central_line(model, X_9, X_1054, 9, 1054, incident=True)
            X_106 = eval_trilinear_point(model, A, B, C, 'a/(2*a - b - c)', ID="X_106", classes=["center", "incident"])
            X_958 = eval_trilinear_point(model, A, B, C, '(b + c - a)*(a**(2) + a*b + a*c + 2*b*c)', ID="X_958", classes=["center", "incident"])
            central_line(model, X_106, X_958, 106, 958, incident=True)
            return promote_point_to_top(model, X_3038)


        def build_model(
            sides: tuple[float, float, float] = (5.0, 6.0, 7.0),
            show_guides: bool = False,
        ) -> Model:
            """Build a `geometor.model.Model` for X_3038 on the given reference triangle."""
            model = create_model('X_3038 = COMPLEMENT OF X_1357')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03038(model, A, B, C)
            return model


        if __name__ == "__main__":
            here = Path(__file__).resolve().parent
            model_acute = build_model((5.0, 6.0, 7.0))
            model_acute.save(str(here / "x-03038.json"))
            write_center_svg(
                model_acute,
                here / "x-03038.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3038¶

X₃₀₃₈¶